1020291363 has 96 divisors (see below), whose sum is σ = 1981670400. Its totient is φ = 506248704.

The previous prime is 1020291359. The next prime is 1020291383. The reversal of 1020291363 is 3631920201.

1020291363 is a `hidden beast` number, since 10 + 2 + 0 + 291 + 363 = 666.

It is a Cunningham number, because it is equal to 31942²-1.

It is not a de Polignac number, because 1020291363 - 2² = 1020291359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1020291383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542058 + ... + 543936.

It is an arithmetic number, because the mean of its divisors is an integer number (20642400).

Almost surely, 2^1020291363 is an apocalyptic number.

1020291363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1020291363 is a deficient number, since it is larger than the sum of its proper divisors (961379037).

1020291363 is a wasteful number, since it uses less digits than its factorization.

1020291363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1020291363 is about 31941.9999843466. Note that the first 4 decimals coincide. The cubic root of 1020291363 is about 1006.7185476943.

The spelling of 1020291363 in words is "one billion, twenty million, two hundred ninety-one thousand, three hundred sixty-three".